Title of article
Conditions for coincidence of two cubic Bézier curves
Author/Authors
Wang، نويسنده , , Wen-Ke and Zhang، نويسنده , , Hui and Liu، نويسنده , , Xiao-Ming and Paul، نويسنده , , Jean-Claude، نويسنده ,
Issue Information
روزنامه با شماره پیاپی سال 2011
Pages
5
From page
5198
To page
5202
Abstract
This paper presents a necessary and sufficient condition for judging whether two cubic Bézier curves are coincident: two cubic Bézier curves whose control points are not collinear are coincident if and only if their corresponding control points are coincident or one curve is the reversal of the other curve. However, this is not true for degree higher than 3. This paper provides a set of counterexamples of degree 4.
Keywords
coincidence , Cubic Bézier curve , Control point
Journal title
Journal of Computational and Applied Mathematics
Serial Year
2011
Journal title
Journal of Computational and Applied Mathematics
Record number
1556382
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